# Scalene Triangle

A triangle is a figure which has three sides and three angles, and the sum of all the three internal angles is always 180 degrees. There are three types of triangles namely – Equilateral, Isosceles and Scalene triangle.

Scalene Triangle is a figure where all the three sides have different lengths and none of the three internal angles are equal.

## Perimeter of a Scalene Triangle

The formula to find the perimeter of a Scalene triangle is same like any triangle i.e. Sum of the lengths of the triangle.

Example 1 – Find the perimeter of the following triangle

Solution –

Perimeter of the triangle = 15 + 34 + 32 = 81 cm

## Area of a Scalene Triangle-

Consider a triangle having lengths of their sides to be a,b,c, and $h_{b}$ be the height of a triangle

The area of a scalene triangle is calculated as half of it base and height.

$Area = \frac{1}{2} \times base \times height$

Example 2 – Find the area of a scalene triangle whose height is 12 cm and base is 9 cm

Solution –  We know,

$Area (A) = \frac{1}{2} \times base \times height$

$A = \frac{1}{2} \times 9 \times 12$

$A = 9 \times 6$

$A = 54 \; cm^{2}$<